# Radiation reaction in classical electrodynamics

@article{Bild2019RadiationRI, title={Radiation reaction in classical electrodynamics}, author={Christian Bild and Hartmut Ruhl and Dirk-Andr{\'e} Deckert}, journal={Physical Review D}, year={2019} }

The Lorentz-Abraham-Dirac equations (LAD) may be the most commonly accepted equation describing the motion of a classical charged particle in its electromagnetic field. However, it is well known that they bare several problems. In particular, almost all solutions are dynamically unstable, and therefore, highly questionable. The question remains whether better equations of motion than LAD can be found to describe the dynamics of charges in the electromagnetic fields. In this paper we present an…

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## References

SHOWING 1-10 OF 33 REFERENCES

Electromagnetic Field Theory Without Divergence Problems 1. The Born Legacy

- Physics
- 2004

Born's quest for the elusive divergence problem-free quantum theory of electromagnetism led to the important discovery of the nonlinear Maxwell–Born–Infeld equations for the classical electromagnetic…

On the initial value formulation of classical electrodynamics

- Physics
- 2016

We describe a seemingly unnoticed feature of the text-book Maxwell-Lorentz system of classical electrodynamics which challenges its formulation in terms of an initial value problem. For…

The hydrogen atom and the classical theory of radiation

- Physics
- 1943

The paper considers the application of Dirac's classical theory of radiating electrons to consider the straight line motion of an electron towards a fixed proton and the straight line motion of two…

Motion of Extended Charges in Classical Electrodynamics

- Physics
- 1977

The Lorentz–Dirac theory of radiation reaction on the motion of point charges is beset by the well known problems of runaway solutions and preacceleration. We examine the classical theory of extended…

Dynamics of Charged Particles and their Radiation Field

- Physics
- 2006

The motion of a charged particle interacting with its own electromagnetic field is an area of research that has a long history; this problem has never ceased to fascinate its investigators. On the…

Dynamics of Charged Particles and Their Radiation Field: Classical theory

- Physics
- 2004

This book provides a self-contained and systematic introduction to classical electron theory and its quantization nonrelativistic quantum electrodynamics. The first half of the book covers the…

Rigorous derivation of electromagnetic self-force

- Physics
- 2009

During the past century, there has been considerable discussion and analysis of the motion of a point charge in an external electromagnetic field in special relativity, taking into account…

Classical theory of radiating electrons

- Physics
- 1938

The Lorentz model of the electron as a small sphere charged with electricity, possessing mass on account of the energy of the electric field around it, has proved very valuable in accounting for the…

A new model of classical electron

- Physics
- 1956

ConclusionsThe theory we developed in this paper appears to be interesting as it overcomes some typical difficulties of the preceding ones by Lorentz and Dirac. For these reasons our formalism is…